On the quotient space of a generalized action of a generalized group

In this paper by using of generalized groups and their generalized actions, we define and study the notion of \(T\)-spaces. Moreover, we study properties of the quotient space of a \(T\)-space and we present the conditions that imply to the Hausdorff property for it. Moreover, we study the maps betw...

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Bibliographic Details
Published in:arXiv.org 2014-02
Main Authors: Maleki, Hasan, Molaei, Mohammadreza
Format: Article
Language:English
Subjects:
Quotients
Online Access:Get full text
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Summary:In this paper by using of generalized groups and their generalized actions, we define and study the notion of \(T\)-spaces. Moreover, we study properties of the quotient space of a \(T\)-space and we present the conditions that imply to the Hausdorff property for it. Moreover, we study the maps between two \(T\)-spaces and we consider the notion of \(T\)-transitivity.
ISSN:2331-8422